Derivatives The Power Rule
Flashcard
•
Mathematics
•
12th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the Power Rule for derivatives?
Back
The Power Rule states that if f(x) = x^n, then the derivative f'(x) = n*x^(n-1).
2.
FLASHCARD QUESTION
Front
Find the derivative of f(x) = 5x^3.
Back
f'(x) = 15x^2.
3.
FLASHCARD QUESTION
Front
Find the derivative of f(x) = 7x^4 - 2x^2 + 3.
Back
f'(x) = 28x^3 - 4x.
4.
FLASHCARD QUESTION
Front
What is the derivative of a constant?
Back
The derivative of a constant is 0.
5.
FLASHCARD QUESTION
Front
Find the derivative of f(x) = x^5.
Back
f'(x) = 5x^4.
6.
FLASHCARD QUESTION
Front
Find the derivative of f(x) = 2x^3 + 4x^2 - x + 1.
Back
f'(x) = 6x^2 + 8x - 1.
7.
FLASHCARD QUESTION
Front
Find the derivative of f(x) = 3x^2 + 2x + 1.
Back
f'(x) = 6x + 2.
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